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2,3,1,3,2,2,14,19,11,13,1,4,13,5,2,1,6,1,4,1,4,4,1,1,1,2,1,1,3,2,9,9,17,6,2,5,3,1,1,1,1,2,1,2,1,1,2,1,1,1,5,1,4,8,7,1,1,1,2,6,1,2,1,7,1,1,2,2,6,2,1,2,2,1,1,1,1,1,1,7,8,8,7,3,3,1,4,2,1,1,2,6,1,1,1,2,3,1,9,2,2,2,4,1,1,2,2,8,2,1,1,1,2,2,1,1,3,6,1,6,1,5,3,1,4,1,1,4,1,2,1,1,1,1,1,1,1,1,1,8,1,2,1,1,1,3,4,1,1,1,1,1,1,1,5,3,2,1,1,1,8,1,1,1,1,1,2,2,1,1,1,1,1,2,1,2,3,1,2,1,1,2,3,1,10,4,1,1,1,2,2,2,2,4,1,1,1,1,1,1,2,3,1,1,1,1,7,9,2,1,1,1,2,2,5,1,1,1,3,2,1,4,3,6,5,2,1,1,1,3,1,2,1,1,1,1,1,3,1,8,1,1,3,2,1,3,4,1,2,4,3,1,1,2,8,1,1,1,1,1,1,6,1,1,1,1,1,1,1,3,1,1,2,2,1,1,1,1,1,1,3,3,1,1,2,2,1,1,2,2,1,2,1,2,3,1,1,1,1,1,1,1,1,1,3,1,2,1,1,2,1,1,3,1,1,1,2,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,2,2,1,4,1,1,1,3,1,1,2,3,1,1,6,2,1,2,3,2,1,1,1,2,2,3,1,1,1,1,2,2,3,1,1,1,1,1,2,1,1,1,2,6,5,2,6,2,1,2,1,2,1,1,3,1,1,1,3,1,1,5,2,7,2,3,21,1,1,1,3,1,9,1,5,1,1,2,2,1,13,32,10,2,1,2,1,1,2,2,1,1,1,1,1,1,1,2,1,1,1,1,2,1,3,1,1,1,1,2,2,3,4,1,1,1,1,2,1,1,1,1,1,7,1,1,2,1,1,1,3,1,1,1,4,1,4,1,1,4,5,1,1,1,1,1,1,3,1,2,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,4,1,1,1,1,3,1,6,2,3,1,1,2,4,1,2,1,3,1,1,1,1,2,2,7,2,1,1,2,1,1,1,1,1,1,1,2,1,3,1,15,1,4,2,2,1,1,1,1,1,1,2,4,3,2,2,1,2,1,1,1,1,1,2,1,1,1,3,1,1,1,1,1,1,2,3,2,4,1,1,1,1,1,1,2,6,2,1,1,1,3,1,1,2,1,1,2,1,4,1,1,1,1,1,1,4,8,2,1,1,3,1,1,1,1,3,2,1,1,1,1,3,6,9,5,1,1,1,1,1,1,1,22,1,1,1,1,1,1,6,4,1,1,1,1,1,2,1,1,1,1,1,1,1,2,3,1,2,1,1,1,1,1,1,1,2,1,1,3,1,3,1,1,2,1,1,1,1,1,1,1,4,7,1,1,1,1,1,1,1,1,2,1,3,1,1,11,5,2,1,2,2,2,1,1,2,1,1,1,2,1,2,1,5,1,1,2,2,1,1,2,4,1,1,6,1,1,1,2,2,4,2,1,1,1,4,2,5,1,2,4,1,5,2,1,2,3,3,2,1,4,1,1,1,2,4,1,1,2,1,1,1,1,2,1,1,2,1,1,1,1,1,3,1,3,2,1,1,1,1,1,1,9,1,1,2,3,2,1,6,1,1,1,2,1,1,1,3,1,1,1,1,1,1,1,3,2,1,1,1,1,2,1,3,4,7,2,1,1,2,1,2,1,1,1,1,1,1,1,1,1,3,2,1,1,1,1,1,2,2,1,1,1,1,2,1,1,2,1,1,1,1,1,3,5,1,1,2,1,2,1,1,1,1,1,2,3,1,2,4,2,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,2,1,4,2,7,1,1,1,1,1,1,1,1,3,1,2,1,3,9,1,1,1,1,1,1,1,2,1,2,4,2,2,10,9,2,1,6,10,1,3,2,2,1,1,3,9,5,1,6,2,4,1,1,1,1,1,3,1,1,3,4,1,1,1,4,8,6,6,3,1,1,1,1,3,5,7,1,3,2,3,2,1,2,4,1,3,5,2,1,1,2,1,1,1,1,3,4,3,4,1,1,1,1,7,5,2,2,5,4,1,1,2,2,3,1,1,2,1,6,1,1,1,1,4,3,4,4,4,7,6,1,1,1,1,9,1,1,1,3,2,1,1,1,1,4,3,5,6,2,1,3,3,2,2,4,1,1,2,2,3,2,3,6,8,1,1,3,2,5,1,1,1,1,1,4,1,2,3,1,1,2,1,1,1,1,2,4,2,2,3,4,8,1,1,1,1,2,2,1,1,2,1,1,2,2,5,2,1,1,2,4,3,1,6,1,1,1,1,2,1,1,2,3,3,3,1,1,1,2,1,1,1,1,1,2,8,1,1,1,2,4,1,1,1,1,1,2,4,4,1,3,1,1,1,2,2,1,1,1,2,1,1,1,3,1,1,2,2,1,1,1,1,1,1,1,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,3,1,1,3,1,2,5,2,1,1,1,1,3,1,1,1,1,4,1,1,1,2,3,1,1,1,1,1,1,1,2,1,1,2,2,2,1,2,1,3,2,1,1,1,1,1,1,2,3,2,8,1,1,1,1,1,1,1,4,1,1,1,1,2,4,1,1,1,2,3,2,2,1,1,1,1,2,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,2,1,2,1,1,2,1,1,2,1,1,1,1,2,1,3,1,1,3,1,1,1,3,2,5,4,8,1,1,1,1,5,2,1,6,7,2,1,1,2,2,1,1,1,2,1,3,3,1,4,2,1,2,1],"exact":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,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